<TeXmacs|2.1.2>

<style|<tuple|tmdoc|old-spacing|old-dots|old-lengths>>

<\body>
  <tmdoc-title|The <name|Maxima> plug-in>

  <hlink|<name|Maxima>|http://maxima.sourceforge.net/> is not only one of the
  oldest and best computer algebra systems around, it is also one of the only
  general purpose systems for which there is a free implementation. The
  current free <name|Maxima> implementation was started by
  <hlink|<name|William F. Schelter>|https://en.wikipedia.org/wiki/Bill_Schelter>.
  It is dedicated to his memory. Here follow some features of <name|Maxima>:

  <\itemize>
    <item>Plotting via netmath over the network.

    <item>Computations over network

    <item>Well tested on a large array of problems.

    <item>Source level Debugger for maxima code

    <item>Documentation available as html, texinfo, info, dvi and postscript.
    The documentation can be read inside <TeXmacs>.

    <item>Easy to extend in fundamentally new ways, because you have complete
    access to source, and access to Common Lisp.

    <item>Portable to many systems.
  </itemize>

  <section*|How to install and configure?>

  First of all, install Ghostscript and Maxima. Ghostscript is used to render
  the PDF vector graphics generated in Maxima sessions.

  Since both Ghostscript and Maxima are implemented in the form of binary
  plugins, you can check the installation locations and versions of
  Ghostscript and Maxima in the following Scheme session:

  <\session|scheme|default>
    <\unfolded-io|Scheme] >
      (find-binary-gs)
    <|unfolded-io>
      \<less\>url /usr/bin/gs\<gtr\>
    </unfolded-io>

    <\unfolded-io|Scheme] >
      (version-binary-gs)
    <|unfolded-io>
      10.02.1
    </unfolded-io>

    <\unfolded-io|Scheme] >
      (find-binary-maxima)
    <|unfolded-io>
      \<less\>url /usr/bin/maxima\<gtr\>
    </unfolded-io>

    <\unfolded-io|Scheme] >
      (version-binary-maxima)
    <|unfolded-io>
      Maxima 5.46.0
    </unfolded-io>

    <\input|Scheme] >
      \;
    </input>
  </session>

  <section*|Example Session>

  Here follows a sample session, which was started using
  <menu|Insert|Session|Maxima>. A nice tutorial by Andrey Grozin is available
  from the <TeXmacs> web site.

  <\session|maxima|default>
    <\output>
      Maxima 5.47.0 https://maxima.sourceforge.io

      using Lisp SBCL 2.3.11

      Distributed under the GNU Public License. See the file COPYING.

      Dedicated to the memory of William Schelter.

      The function bug_report() provides bug reporting information.
    </output>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>1) >
    <|unfolded-io>
      f(x) := x + sin(x);
    <|unfolded-io>
      <math|<with|math-display|true|<text|<with|font-family|tt|color|red|(<with|math-font-family|rm|%o1>)
      >>f<around*|(|x|)>\<assign\>x+sin <around*|(|x|)>>>
    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>2) >
    <|unfolded-io>
      diff (f(x), x);
    <|unfolded-io>
      <math|<with|math-display|true|<text|<with|font-family|tt|color|red|(<with|math-font-family|rm|%o2>)
      >>cos <around*|(|x|)>+1>>
    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>3) >
    <|unfolded-io>
      integrate (f(x), x);
    <|unfolded-io>
      \;

      \ <math|<with|math-display|true|<text|<with|font-family|tt|color|red|(<with|math-font-family|rm|%o3>)
      >><frac|x<rsup|2>|2>-cos <around*|(|x|)>>>
    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>4) >
    <|unfolded-io>
      tm_plot2d (f(x), [x, -%pi, %pi])$
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>5) >
    <|unfolded-io>
      f(x,y) := block ([r:sqrt(x^2 + y^2)], sin(r)/r)$

      tm_plot3d (f(x,y), [x, -12, 12], [y, -12, 12])$
    <|unfolded-io>
      \;

      expt: undefined: 0 to a negative exponent.

      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    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>8) >
    <|unfolded-io>
      tm_plot2d (x^2 = y^3 - 3*y + 1, [x, -4, 4], [y, -4, 4])$
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>9) >
    <|unfolded-io>
      tm_julia (-0.55, 0.6, [iterations, 36], [x, -0.3, 0.2],

      \ \ \ \ \ \ \ \ \ \ [y, 0.3, 0.9], [grid, 400, 400], [color_bar_tics,
      0, 6, 36])$
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    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>10) >
    <|unfolded-io>
      tm_mandelbrot ([iterations, 30], [x, -2, 1], [y, -1.2, 1.2],

      \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [grid,400,400])$
    <|unfolded-io>
      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    </unfolded-io>

    <\input>
      <with|color|red|(<with|math-font-family|rm|%i>11) >
    <|input>
      set_draw_defaults (font \ \ \ \ \ = "Helvetica",

      \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ font_size = 9)$
    </input>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>12) >
    <|unfolded-io>
      scene1: gr2d (title = "A sinus",

      \ \ \ \ \ \ \ \ \ \ \ \ \ \ grid \ = true,

      \ \ \ \ \ \ \ \ \ \ \ \ \ \ explicit (sin(t),t,0,2*%pi))$

      scene2: gr2d (title = "A cosinus",

      \ \ \ \ \ \ \ \ \ \ \ \ \ \ grid \ = true,

      \ \ \ \ \ \ \ \ \ \ \ \ \ \ explicit (cos(t),t,0,2*%pi))$

      tm_draw (scene1, scene2)$
    <|unfolded-io>
      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    </unfolded-io>

    <\unfolded-io>
      <with|color|red|(<with|math-font-family|rm|%i>15) >
    <|unfolded-io>
      tm_draw2d(

      \ \ \ \ \ \ \ \ title \ = "Two simple plots",

      \ \ \ \ \ \ \ \ xlabel = "x",

      \ \ \ \ \ \ \ \ ylabel = "y",

      \ \ \ \ \ \ \ \ grid \ \ = true,

      \ \ \ \ \ \ \ \ color \ = red,

      \ \ \ \ \ \ \ \ key \ \ \ = "A sinus",

      \ \ \ \ \ \ \ \ explicit (sin(x),x,0,2*%pi),

      \ \ \ \ \ \ \ \ color \ = blue,

      \ \ \ \ \ \ \ \ key \ \ \ = "A cosinus",

      \ \ \ \ \ \ \ \ explicit (cos(x),x,0,2*%pi)

      )$
    <|unfolded-io>
      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  <tmdoc-copyright|2011\U2021|Joris van der Hoeven|Chu-Ching Huang, Darcy
  Shen>

  <tmdoc-license|Permission is granted to copy, distribute and/or modify this
  document under the terms of the GNU Free Documentation License, Version 1.1
  or any later version published by the Free Software Foundation; with no
  Invariant Sections, with no Front-Cover Texts, and with no Back-Cover
  Texts. A copy of the license is included in the section entitled "GNU Free
  Documentation License".>
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